Suppose that 5 percent of men and 025 percent of women are c

Suppose that 5 percent of men and 0.25 percent of women are color-blinded. A colorblinded person is chosen at random. What is the probability of this person being male? Assume that there are an equal number of males and females.

Solution

P (Male | Colorblind)

= P(Male being chosen) / P ( Colorblinded people)

= [ (1/2)(5) ] / [ (1/2)(5) + (1/2)(0.25) ]

= 0.9523

= 95.23% chance that a male is chosen in the colorblinds

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